Answer:
x = [tex]\frac{3+2y}{5y-2}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{2x+3}{5x-2}[/tex] ← multiply both sides by (5x - 2)
y(5x - 2) = 2x + 3 ← distribute left side
5xy - 2y = 2x + 3 ( add 2y to both sides )
5xy = 2x + 3 + 2y ( subtract 2x from both sides )
5xy - 2x = 3 + 2y ( factor out x from each term on the left side )
x(5y - 2) = 3 + 2y ← divide both sides by (5y - 2)
x = [tex]\frac{3+2y}{5y-2}[/tex]
